22 resultados para Semigroup of linear operators
Resumo:
RÉSUMÉ DE THÈSE Au cours de ma thèse, je me suis intéressée aux causes physiologiques du vieillissement en utilisant les fourmis comme modèle. Les trois castes de fourmis - les mâles, les ouvrières et les reines - présentent des longévités très différentes, tout en étant génétiquement identiques. Ceci implique que les différences de longévité sont dues à des variations entre castes dans le pattern d'expression de gènes. Mon travail chez la fourmi a consisté d'une part à mettre en place les outils pour identifier de tels gènes à grande échelle, de l'autre à étudier le rôle de gènes et de mécanismes qui affectent la longévité chez d'autres espèces. Pour identifier de nouveaux gènes potentiellement impliqués dans le vieillissement, nous avons développé des puces à ADN. Cette technique permet la comparaison du niveau d'expression de milliers de gènes entre deux échantillons. L'application de cette méthode aux reines et ouvrières adultes nous a jusqu'à présent permis d'identifier neuf gènes surexprimés chez les reines. Trois d'entre eux sont potentiellement impliqués dans le maintien et la réparation du soma, deux processus qui sont supposés avoir un impact crucial sur la longévité. Parmi les mécanismes impliqués dans le vieillissement chez d'autres espèces, nous nous sommes principalement intéressés aux télomères, qui sont les extrémités des chromosomes. Chez les vertébrés, les télomères se raccourcissent à chaque division cellulaire, entre autres parce que l'ADN polymérase ne peut répliquer cette partie des chromosomes en entier. Or des télomères courts entravent la prolifération des cellules et peuvent même induire l'apoptose, ce qui pourrait se répercuter sur la capacité des organismes à régénérer des tissus. J'ai pu montrer que chez les fourmis mâles (la caste qui vit le moins longtemps) les télomères se raccourcissent beaucoup plus vite que chez les reines et les ouvrières. L'explication la plus plausible pour cette différence est que les mâles, étant adapté à une vie très éphémère, n'investissent qu'un minimum d'énergie dans la machinerie de maintenance qui assure le bon fonctionnement des cellules. Ces résultats sont intéressants car ils permettent pour la première fois de faire le lien entre les théories évolutives du vieillissement et la biologie des télomères. THESIS ABSTRACT During my thesis I used ants as a model to study the proximate (i.e., molecular) causes of ageing and lifespan determination. Ant queens, workers and males differ tremendously in lifespan, although all three castes are genetically identical. Importantly, this implies that genes and molecular pathways responsible for modulating lifespan are regulated in a caste-specific manner. To find new genes potentially involved in ageing, we first constructed 371-gene-cDNA microarrays for the ant L. niger. This molecular tool can be used to survey the relative gene expression levels of two samples for thousands of genes simultaneously. By applying this method to adult queens and workers we identified nine genes that are overexpressed in queens. Three of them are putatively involved in somatic maintenance and repair, two processes that have been previously suggested as important for ageing and lifespan determination. We expect to identify many more candidate genes in the near future by using the 9000-gene fire ant microarrays we have recently developed. We also investigated whether factors linked to ageing in other organisms could affect lifespan determination in ants. One project was on telomeres, the ends of linear chromosomes. For various reasons telomeres shorten with every cell division. Since short telomeres can lead to cellular defects such as impaired cell division, telomeres have been hypothesized as playing a role in ageing. We tested whether telomere length in ant somatic tissues correlates with caste-specific lifespan in young adults. The short-lived L. niger mates did indeed have significantly shorter telomeres than the longer-lived queens and workers, probably because telomere attrition is faster in males than in queens and workers. Queens did not, however, have longer telomeres than the shorter-lived workers. These findings are consistent with the idea that telomere length may play a role in ageing under some circumstances, but they also clearly demonstrate that other factors must be involved. We argue that sex-specific telomere length patterns in ants ultimately reflect adaptive differences in the level of somatic maintenance between males and females, and thus create a link between telomere biology and the evolutionary theory of ageing.
Resumo:
Electrical Impedance Tomography (EIT) is an imaging method which enables a volume conductivity map of a subject to be produced from multiple impedance measurements. It has the potential to become a portable non-invasive imaging technique of particular use in imaging brain function. Accurate numerical forward models may be used to improve image reconstruction but, until now, have employed an assumption of isotropic tissue conductivity. This may be expected to introduce inaccuracy, as body tissues, especially those such as white matter and the skull in head imaging, are highly anisotropic. The purpose of this study was, for the first time, to develop a method for incorporating anisotropy in a forward numerical model for EIT of the head and assess the resulting improvement in image quality in the case of linear reconstruction of one example of the human head. A realistic Finite Element Model (FEM) of an adult human head with segments for the scalp, skull, CSF, and brain was produced from a structural MRI. Anisotropy of the brain was estimated from a diffusion tensor-MRI of the same subject and anisotropy of the skull was approximated from the structural information. A method for incorporation of anisotropy in the forward model and its use in image reconstruction was produced. The improvement in reconstructed image quality was assessed in computer simulation by producing forward data, and then linear reconstruction using a sensitivity matrix approach. The mean boundary data difference between anisotropic and isotropic forward models for a reference conductivity was 50%. Use of the correct anisotropic FEM in image reconstruction, as opposed to an isotropic one, corrected an error of 24 mm in imaging a 10% conductivity decrease located in the hippocampus, improved localisation for conductivity changes deep in the brain and due to epilepsy by 4-17 mm, and, overall, led to a substantial improvement on image quality. This suggests that incorporation of anisotropy in numerical models used for image reconstruction is likely to improve EIT image quality.
Resumo:
La hiérarchie de Wagner constitue à ce jour la plus fine classification des langages ω-réguliers. Par ailleurs, l'approche algébrique de la théorie de langages formels montre que ces ensembles ω-réguliers correspondent précisément aux langages reconnaissables par des ω-semigroupes finis pointés. Ce travail s'inscrit dans ce contexte en fournissant une description complète de la contrepartie algébrique de la hiérarchie de Wagner, et ce par le biais de la théorie descriptive des jeux de Wadge. Plus précisément, nous montrons d'abord que le degré de Wagner d'un langage ω-régulier est effectivement un invariant syntaxique. Nous définissons ensuite une relation de réduction entre ω-semigroupes pointés par le biais d'un jeu infini de type Wadge. La collection de ces structures algébriques ordonnée par cette relation apparaît alors comme étant isomorphe à la hiérarchie de Wagner, soit un quasi bon ordre décidable de largeur 2 et de hauteur ω. Nous exposons par la suite une procédure de décidabilité de cette hiérarchie algébrique : on décrit une représentation graphique des ω-semigroupes finis pointés, puis un algorithme sur ces structures graphiques qui calcule le degré de Wagner de n'importe quel élément. Ainsi le degré de Wagner de tout langage ω-régulier peut être calculé de manière effective directement sur son image syntaxique. Nous montrons ensuite comment construire directement et inductivement une structure de n''importe quel degré. Nous terminons par une description détaillée des invariants algébriques qui caractérisent tous les degrés de cette hiérarchie. Abstract The Wagner hierarchy is known so far to be the most refined topological classification of ω-rational languages. Also, the algebraic study of formal languages shows that these ω-rational sets correspond precisely to the languages recognizable by finite pointed ω-semigroups. Within this framework, we provide a construction of the algebraic counterpart of the Wagner hierarchy. We adopt a hierarchical game approach, by translating the Wadge theory from the ω-rational language to the ω-semigroup context. More precisely, we first show that the Wagner degree is indeed a syntactic invariant. We then define a reduction relation on finite pointed ω-semigroups by means of a Wadge-like infinite two-player game. The collection of these algebraic structures ordered by this reduction is then proven to be isomorphic to the Wagner hierarchy, namely a well-founded and decidable partial ordering of width 2 and height $\omega^\omega$. We also describe a decidability procedure of this hierarchy: we introduce a graph representation of finite pointed ω-semigroups allowing to compute their precise Wagner degrees. The Wagner degree of every ω-rational language can therefore be computed directly on its syntactic image. We then show how to build a finite pointed ω-semigroup of any given Wagner degree. We finally describe the algebraic invariants characterizing every Wagner degree of this hierarchy.
Resumo:
We introduce disk matrices which encode the knotting of all subchains in circular knot configurations. The disk matrices allow us to dissect circular knots into their subknots, i.e. knot types formed by subchains of the global knot. The identification of subknots is based on the study of linear chains in which a knot type is associated to the chain by means of a spatially robust closure protocol. We characterize the sets of observed subknot types in global knots taking energy-minimized shapes such as KnotPlot configurations and ideal geometric configurations. We compare the sets of observed subknots to knot types obtained by changing crossings in the classical prime knot diagrams. Building upon this analysis, we study the sets of subknots in random configurations of corresponding knot types. In many of the knot types we analyzed, the sets of subknots from the ideal geometric configurations are found in each of the hundreds of random configurations of the same global knot type. We also compare the sets of subknots observed in open protein knots with the subknots observed in the ideal configurations of the corresponding knot type. This comparison enables us to explain the specific dispositions of subknots in the analyzed protein knots.
Resumo:
In pediatric echocardiography, cardiac dimensions are often normalized for weight, height, or body surface area (BSA). The combined influence of height and weight on cardiac size is complex and likely varies with age. We hypothesized that increasing weight for height, as represented by body mass index (BMI) adjusted for age, is poorly accounted for in Z scores normalized for weight, height, or BSA. We aimed to evaluate whether a bias related to BMI was introduced when proximal aorta diameter Z scores are derived from bivariate models (only one normalizing variable), and whether such a bias was reduced when multivariable models are used. We analyzed 1,422 echocardiograms read as normal in children ≤18 years. We computed Z scores of the proximal aorta using allometric, polynomial, and multivariable models with four body size variables. We then assessed the level of residual association of Z scores and BMI adjusted for age and sex. In children ≥6 years, we found a significant residual linear association with BMI-for-age and Z scores for most regression models. Only a multivariable model including weight and height as independent predictors produced a Z score free of linear association with BMI. We concluded that a bias related to BMI was present in Z scores of proximal aorta diameter when normalization was done using bivariate models, regardless of the regression model or the normalizing variable. The use of multivariable models with weight and height as independent predictors should be explored to reduce this potential pitfall when pediatric echocardiography reference values are evaluated.
Resumo:
Exploitation of arbuscular mycorrhizal fungi may be an important approach for development of reduced-input agriculture. We discuss the use of linear models to analyze variation in mycorrhiza response among diverse plant varieties in order to assess the value of mycorrhizas. Our approach allows elimination of variation linked to differences in plant performance in the absence of mycorrhizas and the selection of plant lines that might harbor genetic variation of use to improve the mycorrhizal symbiosis in agriculture. We illustrate our approach by applying it to previously published and to novel data. We suggest that in dealing with a relative trait such as mycorrhiza effect, the choice of measure used to quantify the trait greatly affects interpretation. In the plant populations under consideration, we find evidence for a greater potential to increase mycorrhiza benefit than previously suggested.
Resumo:
The purpose of this study was to estimate the energy cost of linear (EC) and vertical displacement (ECvert), mechanical efficiency and main stride parameters during simulated ski mountaineering at different speeds and gradients, to identify an optimal speed and gradient that maximizes performance. 12 subjects roller skied on a treadmill at three different inclines (10, 17 and 24 %) at three different speeds (approximately 70, 80 and 85 % of estimated peak heart rate). Energy expenditure was calculated by indirect calorimetry, while biomechanical parameters were measured with an inertial sensor-based system. At 10 % there was no significant change with speed in EC, ECvert and mechanical efficiency. At 17 and 24 % the fastest speed was significantly more economical. There was a significant effect of gradient on EC, ECvert and mechanical efficiency. The most economical gradient was the steepest one. There was a significant increase of stride frequency with speed. At steep gradients only, relative thrust phase duration decreased significantly, while stride length increased significantly with speed. There was a significant effect of gradient on stride length (decrease with steepness) and relative thrust phase duration (increase with steepness). A combination of a decreased relative thrust phase duration with increased stride length and frequency decreases ECvert. To minimize the energy expenditure to reach the top of a mountain and to optimize performance, ski-mountaineers should choose a steep gradient (~24 %) and, provided they possess sufficient metabolic scope, combine it with a fast speed (~6 km h(-1)).